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Students are given 4 parabola equations and their respective graphs and asked to match them.

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Match the equations with the graphs

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The general equation for a parabola is $y=ax^w+bx+c$.

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The larger the value of $a$, the steeper the parabola.

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If $a>0$ then the parabola is concave up (smiling).

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If $a<0$ then the parabola is concave down (frowning).

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The constant $c$ moves the parabola up or down the $x$-axis by a value of $c$.

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If $a>0$, the addition of a $+bx$ term moves the parabola down and to the left, and the addition of a $-bx$ term moves the parabola down and to the right.

\n

If $a<0$, the addition of a $+bx$ term moves the parabola up and to the right, and the addition of a $-bx$ term moves the parabola up and to the left.

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